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Finding the Third Proportional to 134,775,112 and 197,108,256

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Solution

The third proportional to 134,775,112 and 197,108,256 is: 288,270,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,775,112 : 197,108,256 = 197,108,256 : x
  2. Step 2: Convert to fraction form
    134,775,112/197,108,256 = 197,108,256/x
  3. Step 3: Cross multiply
    134,775,112x = 197,108,256 × 197,108,256
  4. Step 4: Simplify right side
    134,775,112x = 38,851,664,583,361,536
  5. Step 5: Solve for x
    x = 38,851,664,583,361,536/134,775,112
  6. Step 6: Final answer
    x = 288,270,319.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.